In this paper, we investigate non-coherent detection schemes, for the integrated simultaneous wireless information and power tranfer (SWIPT) receiver. Firstly, we study a symbol by symbol (SBS) detection, while optimization of the transmitted energy pulses, enhances the performance of the receiver, in terms of symbol error rate (SER). In addition, by exploiting the channel coherence time, over N transmitted energy pulses, we study sequential detection and introduce an integrated SEQ-MLSD decoder. With the use of sophisticated techniques such as Viterbi- type trellis-search algorithm and strategic-store strategy, we simplify the complexity of the sequential detection and overcome the error floor problem. Simulation results along with theoretical bounds are provided, validating the enhanced performance of our solution. The proposed sequential decoding scheme outperforms in terms of SER, the integrated SBS decoder and the conventional power-splitting SWIPT receiver, without degrading the energy harvested.